Question

profit is the difference between revenue and cost. the revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial (2x^3 + 30x - 130). the cost, in dollars, of producing the skateboards can be modeled by (2x^3 - 3x - 520). the variable (x) represents the number of skateboards sold.

what expression represents the profit? (updated)

options:

• (27x - 650)
• (27x + 390)
• (33x - 650)
• (33x + 390)

Explanation:

Define the profit equation

Using the Business Profit Modeling knowledge point

$$ \text{Profit} = \text{Revenue} - \text{Cost} $$

$$
LATEXBLOCK0
$$

Distribute the negative sign

Using the Distributive Property knowledge point

$$ P(x) = 2x^3 + 30x - 130 - 2x^3 + 3x + 520 $$

Combine like terms

Using the Combining Like Terms knowledge point

$$
LATEXBLOCK1
$$

Answer:

• \(27x - 650\)
• \(27x + 390\)
• \(33x - 650\)
• \(33x + 390\) (Correct answer)